FORCED MOTION OF A PLATE,
Abstract
In many cases of interest to experimentalists and geophysicists, the situation exists where a light, thin layer of material such as glue or adhesive is bonded to a heavier structure. If the layer is thin enough and it its acoustic impedance is small compared to the underlying structure, then the layer can be thought of as having little effect upon the motion of the substructure. Thus, the effect of the substructure is to force motion of the thin layer. The dynamic problem is considered of a thin layer forced by displacements on the lower face and tractions upon the upper face. The exact solution is derived for the two-dimensional case while the three-dimensional case is first considered using Bernoulli-EulerKirchhoff plate theory and, after this, including the effects of shear deformation and rotatory inertia. It is found that if shear deformation and rotatory inertia are included, the theory is fairly accurate for problems in which the quarter wavelength of the disturbance is greater than or equal to the plate thickness. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 28, 1964
- Accession Number
- AD0431297
Entities
People
- J. P. Jones
Organizations
- The Aerospace Corporation